Hello there.
First, assume the numbers 
such that they satisties both affirmations:
- The sum of the squares of two numbers is
. - The product of the two numbers is
.
With these informations, we can set the following equations:
Multiply both sides of the second equation by a factor of 
:
Make 
We can rewrite the expression on the left hand side using the binomial expansion in reverse: 
, such that:
The square of a number is equal to 
if and only if such number is equal to , thus:
Substituting that information from 
in 
, we get:
Calculate the square root on both sides of the equation:
Once again with the information in , we have that:
The set of solutions of that satisfies both affirmations is:
This is the set we were looking for.
Answer:
x = 3
Step-by-step explanation:
10 + 2(7 - 9x) = 5(2x - 12)
10 + 14 - 18x = 10x - 60
24 - 18x = 10x - 60
+60 +60
-------------------------------------
84 - 18x = 10x
+18x +18x
-------------------------------------
84 = 28x
/28 /28
--------------------------------------
3 = x
Answer:
(-5, 3)
Step-by-step explanation:
it translated left 2 units => x'= x-2
down 2 units=> y'= y-2
Answer:
Step-by-step explanation:
5 ( y - 2 ) + 3 ( 4 - y )
multiply 5 by both y and -2
5y - 10 + 3 ( 4 - y )
multiply 3 by by both 4 and -y
5y - 10 + 12 - y
hope this helps
Answer:
2
Step-by-step explanation:
as H=20 and W=10
So H=constant.(W)
H=2(10)
H=20
So constant is 2
